Simulation design

Each simulation is 420 observations of 4 varaibles (3 clusters, with 140 observations each). This document focus on 4 simulation models, namely, EEE EEV, and banana. These models have the simulation factor specified in the title and is accompanied by 2 other documents which vary the simulation factor.

Simulation models by simulation factor
Simulation factor EEE family EEV family banana family
baseline EEE EEV banana
correlated noise dimensions EEE_corNoise EEV_corNoise banana_corNoise
mean differences in combination of variables EEE_mnComb EEV_mnComb banana_mnComb

Variable space

Principal component space

Radial tours

The starting basis initialized to PC1:2 of each model. Radial tours created for the top 3 variables.

EEE

EEV

banana

Checking variance-covariance matrices

Let’s check if our component variance-covariance matrices are non-singular and postive semi-definate.

## [1] "cov: cov_circ"
## [1] "is non-singular matrix: TRUE"
## [1] "is positive semi-definite: TRUE"
## [1] "cov: cov_elipse_pos"
## [1] "is non-singular matrix: TRUE"
## [1] "is positive semi-definite: TRUE"
## [1] "cov: cov_elipse_neg"
## [1] "is non-singular matrix: TRUE"
## [1] "is positive semi-definite: TRUE"
## [1] "cov: cov_circ_corNoise"
## [1] "is non-singular matrix: TRUE"
## [1] "is positive semi-definite: TRUE"
## [1] "cov: cov_elipse_pos_corNoise"
## [1] "is non-singular matrix: TRUE"
## [1] "is positive semi-definite: TRUE"
## [1] "cov: cov_elipse_neg_corNoise"
## [1] "is non-singular matrix: TRUE"
## [1] "is positive semi-definite: TRUE"

{mclust} paper reference, VSO models

Scrucca, Luca, Michael Fop, T. Brendan Murphy, and Adrian E. Raftery. “Mclust 5: Clustering, Classification and Density Estimation Using Gaussian Finite Mixture Models.” The R Journal 8, no. 1 (August 2016): 289-317.

mclust paper, Table 3

mclust paper, Figure 2